In a circle, if the angle subtended by an arc at the center is 80°, what is the
Practice Questions
Q1
In a circle, if the angle subtended by an arc at the center is 80°, what is the angle subtended at any point on the remaining part of the circle?
40°
80°
100°
60°
Questions & Step-by-Step Solutions
In a circle, if the angle subtended by an arc at the center is 80°, what is the angle subtended at any point on the remaining part of the circle?
Step 1: Understand that there is a circle with a center and an arc (a part of the circle).
Step 2: Know that the angle subtended by the arc at the center of the circle is given as 80°.
Step 3: Remember the rule that the angle subtended at any point on the circumference (the edge of the circle) by the same arc is half of the angle at the center.
Step 4: Calculate the angle at the circumference by dividing the angle at the center (80°) by 2.
Step 5: Perform the calculation: 80° / 2 = 40°.
Step 6: Conclude that the angle subtended at any point on the remaining part of the circle is 40°.
